The Reds will find out later today who they'll face in the group stages of this year's competition and after the disappointment of last term, Jones says the players can't wait to get going again this season.
"Champions League draw day is a day you always look forward to. It’s always exciting to watch it and see the balls being drawn out of the hat. It’ll be interesting to see who we get," the defender told ManUtd.com.
"We all know what happened last season – football can be a cruel game at times. But hopefully we can do well in it again this year and really stamp our mark in the Champions League.
"It’s always been a huge competition for this club. We want to continue the success the club has had in it in the past."
Follow ManUtd.com's coverage of the draw via our live blog from 16:45 BST today.
United's official travel provider Thomas Cook Sport will be offering supporter packages to follow the team during the UEFA Champions League group stages.